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Finding the Fourth Proportional to 5,300, 7,950 and 1,652

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Solution

The fourth proportional to 5,300, 7,950 and 1,652 is: 2,478

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300 : 7,950 = 1,652 : x
  2. Step 2: Convert to fraction form
    5,300/7,950 = 1,652/x
  3. Step 3: Cross multiply
    5,300x = 7,950 × 1,652
  4. Step 4: Simplify right side
    5,300x = 13,133,400
  5. Step 5: Solve for x
    x = 13,133,400/5,300
  6. Step 6: Final answer
    x = 2,478

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.